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Finding the Fourth Proportional to 208,502.80, 312,635.71 and 82,074.56

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Solution

The fourth proportional to 208,502.80, 312,635.71 and 82,074.56 is: 123,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,502.80 : 312,635.71 = 82,074.56 : x
  2. Step 2: Convert to fraction form
    208,502.80/312,635.71 = 82,074.56/x
  3. Step 3: Cross multiply
    208,502.80x = 312,635.71 × 82,074.56
  4. Step 4: Simplify right side
    208,502.80x = 25,659,438,914.94
  5. Step 5: Solve for x
    x = 25,659,438,914.94/208,502.80
  6. Step 6: Final answer
    x = 123,065.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.